Home
Class 11
PHYSICS
The period T of a soap bubble under SHM ...

The period `T` of a soap bubble under `SHM` is given by `T = P^(a) D^(b) S^(c )`, where `P` is pressure, `D`, is density and `S` is surface tension. Then the values of `a,b` and `c` are

A

`-(3)/(2),(1)/(2),1`

B

`-1,-2,3`

C

`(1)/(2),-(3)/(2)-(1)/(2)`

D

`1,2,(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise CRITICAL THINKING ( ORDER OF MAGNITUDE AND SIGNIFICANT FIGURE)|9 Videos

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise CRITICAL THINKING ( ACCUARAY AND ERRORS IN MEASUREMENTS)|10 Videos

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise CRITICAL THINKING ( FUNDAMENTAL AND DERIVED UNITS)|9 Videos

  • MAGNETISM

    TARGET PUBLICATION|Exercise MCQs|147 Videos

  • Motion in a plane

    TARGET PUBLICATION|Exercise Exercise|340 Videos

Similar Questions

Explore conceptually related problems

The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pressure, x is distance and t is time are

For the equation F = A^(a) v^(b) d^(c) where F is force, A is area, v si velocity and d is density with the dimensional anaysis gives the following values for the exponents.

The position of an object moving along the x axis is given by x = a + bt^2 where a = 8.5 and b= 2.5 m s^2 and t is measured in second. What is the velociity at t=0 s and t= 2s? What is the average velocity between t= 2 s and t=4s?

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

The excess pressure inside a drop of soap solution is P_d and that inside a soap bubble of same radius is P_b then

A spherical liquid drop is placed on a horizontal plane . A small distrubance cause the volume of the drop to oscillate . The time period oscillation (T) of the liquid drop depends on radius (r) of the drop , density (rho) and surface tension tension (S) of the liquid. Which amount the following will be be a possible expression for T (where k is a dimensionless constant)?

The dual of (p ^^ t) vv ( c ^^ ~ q) where t is a tautology and c is a contradiction, is

Assertion : Pressure in bubble ( r ) in the atmosphere of pressure P_0 is P_0+(4sigma)/r where r is the radius and sigma is surface tension . Reason: (4sigma)/r is the excess pressure due to two surface exposed to the atmosphere .

The displacement of a particle moving in a straight line is given by the expression x=At^3 + Bt^2 + Ct +D in metres, where t is in second and A, B, C and D are constants. The ratio between the initial acceleration and initial velocity is

The equation of motion of a particle moving along a straight line is s=2t^(3)-9t^(2)+12t , where the units of s and t are cm and second. The acceleration of the particle will be zero after: a) 3/2 seconds b) 2/3 seconds c) 1/2 seconds d) 2 seconds

TARGET PUBLICATION-MEASUREMENTS-CRITICAL THINKING ( DIMENSIONAL ANALYSIS )
  1. Which one of the following represents the correct dimensions of the co...

    Text Solution

    |

  2. Dimensions of electrical resistence are

    Text Solution

    |

  3. The dimensions of length in electric field, electric flux and electric...

    Text Solution

    |

  4. If L denotes the inductance of an inductor through which a current i i...

    Text Solution

    |

  5. If the magnitude of length is halved and that of mass is double then d...

    Text Solution

    |

  6. Out of the following pairs, which one does NOT have identical dimensio...

    Text Solution

    |

  7. Which of the following equations is dimensionally correct?

    Text Solution

    |

  8. The dimensional formul for impulse is same as the dimensional formula ...

    Text Solution

    |

  9. Which of the following pairs has the same dimensions?

    Text Solution

    |

  10. A small steel ball of mass m and radius r is falling under gravity thr...

    Text Solution

    |

  11. A force F is given by F = at + bt^(2) , where t is time . What are the...

    Text Solution

    |

  12. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

    Text Solution

    |

  13. For the equation F = A^(a) v^(b) d^(c) where F is force, A is area, v ...

    Text Solution

    |

  14. Using the principle of homogeneity of dimensions, find which of the fo...

    Text Solution

    |

  15. The period T of a soap bubble under SHM is given by T = P^(a) D^(b) S^...

    Text Solution

    |

  16. The equation of a wave is given by Y = A sin omega ((x)/(v) - k), wher...

    Text Solution

    |

  17. The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pre...

    Text Solution

    |

  18. The equation of the state of some gases can be expressed as (P +(a)/(V...

    Text Solution

    |

  19. If the speed of light c, acceleration due to gravity (g) and pressure ...

    Text Solution

    |

  20. The value of acceleration due to gravity is 980 cm s^(-2). What will ...

    Text Solution

    |